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New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected…

Superconductivity · Physics 2009-10-30 A. E. Duwel , S. Watanabe , E. Trias , T. P. Orlando , H. S. J. van der Zant , S. H. Strogatz

We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-abelian case. Our formalism interprets Josephson tunneling as the excitation of pseudo-Goldstone bosons. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Paul Esposito , L. -P. Guay , R. B. MacKenzie , M. B. Paranjape , L. C. R. Wijewardhana

We study fermion-parity-changing quantum phase transitions (QPTs) in platform Josephson junctions. These QPTs, associated with zero-energy bound states, are rather widely observed experimentally. They emerge from numerical calculations…

Superconductivity · Physics 2018-08-14 Chien-Te Wu , F. Setiawan , Brandon M. Anderson , Wei-Han Hsiao , K. Levin

We consider the inverse problem of designing an array of superconducting Josephson junctions that has a given maximum static current pattern as function of the applied magnetic field. Such devices are used for magnetometry and as Terahertz…

Superconductivity · Physics 2009-11-13 J. G. Caputo , L. Loukitch

The autocorrelation function of the Langevin force in the model introduced in the cited paper is calculated and verified to be correct.

Statistical Mechanics · Physics 2016-10-26 Vinay Ambegaokar

We study the microscopic structure of the Josephson current in a single-mode tunnel junction with a wide quasiclassical tunnel barrier. In such a junction each Andreev bound state carries a current of magnitude proportional to the {\em…

Condensed Matter · Physics 2009-10-28 G. Wendin , V. S. Shumeiko

We propose a new scheme for observing Josephson oscillations and macroscopic quantum self-trapping phenomena in a toroidally confined Bose-Einstein condensate: a dipolar self-induced Josephson junction. Polarizing the atoms perpendicularly…

Quantum Gases · Physics 2015-05-20 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

We investigate a bosonic Josephson junction by using the path-integral formalism with relative phase and population imbalance as dynamical variables. We derive an effective only-phase action performing functional integration over the…

Quantum Gases · Physics 2022-04-15 Koichiro Furutani , Jacques Tempere , Luca Salasnich

We elaborate a theoretical description of large Josephson junctions which is based on the Werthamer's microscopic tunneling theory. The model naturally incorporates coupling of electromagnetic radiation to the tunnel currents and,…

Superconductivity · Physics 2017-07-25 D. R. Gulevich , V. P. Koshelets , F. V. Kusmartsev

We investigate the Josephson effect for a setup with two lattice quantum wires featuring Majorana zero energy boundary modes at the tunnel junction. In the weak-coupling, the exact solution reproduces the perturbative result for the energy…

Mesoscale and Nanoscale Physics · Physics 2012-07-16 Flavio S. Nogueira , Ilya Eremin

We describe the dynamics of fluxons moving in a frustrated Josephson junction with p, d, and f-wave symmetry and calculate the I-V characteristics. The behavior of fluxons is quite distinct in the long and short length junction limit. For…

Pattern Formation and Solitons · Physics 2009-11-07 N. Stefanakis

We present in closed form some special travelling-wave solutions (on the real line or on the circle) of a perturbed sine-Gordon equation. The perturbation of the equation consists of a constant forcing term $\gamma$ and a linear dissipative…

Mathematical Physics · Physics 2012-09-28 Gaetano Fiore

The quantum dynamics of a one-dimensional bosonic Josephson junction is studied by solving the time-dependent many-boson Schr\"odinger equation numerically exactly. Already for weak interparticle interactions and on short time scales, the…

Quantum Gases · Physics 2009-11-24 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

Existence of distinctive correlation between the thermal conductance and the Josephson current across a 1-D topological Josephson junction (T-JJ) is established and an expression connecting the two is derived in the short junction limit. It…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Aabir Mukhopadhyay , Sourin Das

We consider a planar SIS-type Josephson junction between diffusive superconductors (S) through an insulating tunnel interface (I). We construct fully self-consistent perturbation theory with respect to the interface conductance. As a…

Superconductivity · Physics 2021-09-15 A. S. Osin , Ya. V. Fominov

We theoretically explore the low-energy behavior of a Josephson tunnel junction coupled to a finite-length, charge-biased transmission line and compare it to its flux-biased counterpart. For transmission lines of increasing length, we show…

Quantum Physics · Physics 2026-03-04 Luca Giacomelli , Michel H. Devoret , Cristiano Ciuti

We study a current-biased 0-\pi-0 Josephson junction made by high-T_c superconductors, theoretically. When a length of the \pi junction is large enough, this junction contains a vortex-antivortex pair at both ends of the \pi junction.…

Superconductivity · Physics 2009-10-30 Takeo Kato , Masatoshi Imada

Fluxon transmission through impurities of different shape in a quasi-one-dimensional long Josephson junction is investigated. The junction width is significantly less than its length but, at the same time, is of the order of the Josephson…

Pattern Formation and Solitons · Physics 2015-06-05 Ivan O. Starodub , Yaroslav Zolotaryuk

A simple and general derivation of Josephson formulae for the tunneling currents is presented on the basis of Sewell's general formulation of superconductivity in use of off-diagonal long range order (ODLRO).

Mathematical Physics · Physics 2007-05-23 Izumi Ojima

We determine the current-phase relation (CPR) of two-terminal configurations of Josephson junctions containing two-dimensional (2D) time-reversal invariant topological superconductors (TRITOPS), including TRITOPS-TRITOPS, as well as…